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Simplifying (4y + 7)(4y + 7) = 0 Reorder the terms: (7 + 4y)(4y + 7) = 0 Reorder the terms: (7 + 4y)(7 + 4y) = 0 Multiply (7 + 4y) * (7 + 4y) (7(7 + 4y) + 4y * (7 + 4y)) = 0 ((7 * 7 + 4y * 7) + 4y * (7 + 4y)) = 0 ((49 + 28y) + 4y * (7 + 4y)) = 0 (49 + 28y + (7 * 4y + 4y * 4y)) = 0 (49 + 28y + (28y + 16y2)) = 0 Combine like terms: 28y + 28y = 56y (49 + 56y + 16y2) = 0 Solving 49 + 56y + 16y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 4y)(7 + 4y) = 0Subproblem 1
Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Subproblem 2
Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Solution
y = {-1.75, -1.75}
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